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An isoperimetric type problem for Bézier curves of degree \(n\)

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Publication:631028
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DOI10.1016/j.cagd.2010.01.002zbMath1210.65047OpenAlexW2081821115MaRDI QIDQ631028

Przemysław Rutka, Ryszard Smarzewski

Publication date: 22 March 2011

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2010.01.002


zbMATH Keywords

algorithmnumerical examplesBézier curvesalgorithmic approachmatrix pencil problemrestricted isoperimetric problem


Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)


Related Items

A weighted extremal problem for the Bézier curves of degree \(n\) with Jacobi densities ⋮ Explicit barycentric formulae for osculatory interpolation at roots of classical orthogonal polynomials ⋮ An isoperimetric type problem for primitive Pythagorean hodograph curves



Cites Work

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  • Algorithms for polynomials in Bernstein form
  • The dual basis functions for the Bernstein polynomials
  • Blaschke-Süss type theorems for closed plane curves
  • On the isoperimetric problem in Euclidean space with density
  • Class A Bézier curves
  • The isoperimetric inequality
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